=a -[ - { - ( a - b - c )}]
=a-[ - { - a+ b + c)}]
=a- [ a - b - c]
=a - a + b + c
= b + c
here when the brackets are removed then the sign outside the bracket on the left side is multiplied with the sign of each variable inside the bracket.
and the following rules are applied.
- * - = +
- * + = -
+ * - = -
+ * + = +